Comparison with existing Adaptive-Robust law: To gain further insight into the advantage of the proposed adaptive law, the following adaptive law of ASMC [1]}-[2]} for switching gain \(K\)  is provided:
\(& \dot{K}(t)={\left\lbrace \begin{array}{ll}\bar{K}||s||\text{sgn}(||s||-\epsilon ), ~\text{if}~K > \beta \\\beta \qquad \qquad \qquad \qquad ~\text{if}~K \le \beta ,\end{array}\right.} \) 
